Spectrality of self-affine measures with a four elements collinear digit set

被引：0
作者：
Gao, Gui-Bao [1 ,2 ]
Yao, Xi-Yan [2 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Yuncheng Univ, Yuncheng 044000, Shanxi, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 03期
关键词：
Iterated function system; self-affine measure; collinear digit set; spectral measure; compatible pair; ITERATED FUNCTION SYSTEMS; EXPONENTIALS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, using the feature of zero-point sets Z((mu) over cap (M,D)), where (mu) over cap (M,D) is the Fourier transform of self-affine measures mu(M,D), we discuss the spectrality and non-spectrality of the collinear digit set. We give a method to deal with the spectrality and non-spectrality with collinear case. The results here provides some supportive evidence to the two related conjectures.
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页码：408 / 415
页数：8
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